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Finding the Third Proportional to 125,317.50 and 191,945.25

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Solution

The third proportional to 125,317.50 and 191,945.25 is: 293,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,317.50 : 191,945.25 = 191,945.25 : x
  2. Step 2: Convert to fraction form
    125,317.50/191,945.25 = 191,945.25/x
  3. Step 3: Cross multiply
    125,317.50x = 191,945.25 × 191,945.25
  4. Step 4: Simplify right side
    125,317.50x = 36,842,978,997.56
  5. Step 5: Solve for x
    x = 36,842,978,997.56/125,317.50
  6. Step 6: Final answer
    x = 293,997.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.